1001 Algebra Problems.PDF

(Marvins-Underground-K-12) #1

For questions 681–684, refer to the graphs of the fol-
lowing fourth-degree polynomial function y= p(x).


681.The zeros ofp(x) are x=
a.–3, 0, 2
b.–3, 1, 3
c.–3, 0, 1, 2, 3
d.none of the above


682.Which of the following is the range ofp(x)?
a.
b.[–1,4]
c.[–1,∞)
d.[–4,4]


683.Which of the following is the domain ofp(x)?
a.
b.[–1,4]
c.[–1,∞)
d.[–4,4]


684.Which of the following is the solution set for
the inequality –1p(x) 0?
a.(1,3)
b.[1,3]∪{–3}
c.(1,2)∪(2,3)
d.[1,2)∪(2,3]∪{–3}

685.The range of the function f(x) = ^21 x–+ x^1 is which
of the following?
a.(–∞,1)∪(1,∞)
b.(–∞,–2)∪( –2,∞)
c.(–∞,–^12 )∪(–^12 ,∞)
d.

For questions 686–688, use the following functions:

f(x) = – (2x–(–1 –x^2 )) g(x) = 3(1 + x) h(x) = 1+^1 x 2

686.Which of the following is equivalent to?
a.–g(x)
b.g(x)
c.–3g(x)
d. 3 g(x)

687.What is the domain of the function 2g(x)h(x)?
a.(–∞,–1)∪(–1,1)∪(1,∞)
b.(–∞,–1)∪(1,∞)
c.(–∞,–1)∪(–1,∞)
d.the set of all real numbers

688.Which of the following is equivalent to
3 f(x) – 2xg(x) – h(^1 x)?
a.–10x^2 + 6x+ 2
b.–2(5x^2 + 6x+ 2)
c. 10 x^2 + 12x+ 4
d.2(5x+2)(x+ 1)

^9 f(x)
g(x)

y

y = p(x)

(2,–1)

x

1
–4 –3 –2 –1 1 2 34

2

3

4

–4

–3

–2

–1


  • ELEMENTARY FUNCTIONS–

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